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Finding the Third Proportional to 23,348 and 51,229

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Solution

The third proportional to 23,348 and 51,229 is: 112,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348 : 51,229 = 51,229 : x
  2. Step 2: Convert to fraction form
    23,348/51,229 = 51,229/x
  3. Step 3: Cross multiply
    23,348x = 51,229 × 51,229
  4. Step 4: Simplify right side
    23,348x = 2,624,410,441
  5. Step 5: Solve for x
    x = 2,624,410,441/23,348
  6. Step 6: Final answer
    x = 112,404.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.